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ns3::ErlangRandomVariable Class Reference

The Erlang distribution Random Number Generator (RNG) that allows stream numbers to be set deterministically. More...

#include "random-variable-stream.h"

+ Inheritance diagram for ns3::ErlangRandomVariable:
+ Collaboration diagram for ns3::ErlangRandomVariable:

Public Member Functions

 ErlangRandomVariable ()
 Creates an Erlang distribution RNG with the default values for k and lambda.
 
virtual uint32_t GetInteger ()
 Get the next random value drawn from the distribution.
 
uint32_t GetInteger (uint32_t k, uint32_t lambda)
 Get the next random value drawn from the distribution.
 
uint32_t GetK () const
 Returns the k value for the Erlang distribution returned by this RNG stream.
 
double GetLambda () const
 Returns the lambda value for the Erlang distribution returned by this RNG stream.
 
double GetValue () override
 Get the next random value drawn from the distribution.
 
double GetValue (uint32_t k, double lambda)
 Get the next random value drawn from the distribution.
 
- Public Member Functions inherited from ns3::RandomVariableStream
 RandomVariableStream ()
 Default constructor.
 
 RandomVariableStream (const RandomVariableStream &)=delete
 
 ~RandomVariableStream () override
 Destructor.
 
int64_t GetStream () const
 Returns the stream number for the RngStream.
 
bool IsAntithetic () const
 Check if antithetic values will be generated.
 
RandomVariableStreamoperator= (const RandomVariableStream &)=delete
 
void SetAntithetic (bool isAntithetic)
 Specify whether antithetic values should be generated.
 
void SetStream (int64_t stream)
 Specifies the stream number for the RngStream.
 
- Public Member Functions inherited from ns3::Object
 Object ()
 Constructor.
 
 ~Object () override
 Destructor.
 
void AggregateObject (Ptr< Object > other)
 Aggregate two Objects together.
 
void Dispose ()
 Dispose of this Object.
 
AggregateIterator GetAggregateIterator () const
 Get an iterator to the Objects aggregated to this one.
 
TypeId GetInstanceTypeId () const override
 Get the most derived TypeId for this Object.
 
template<typename T >
Ptr< T > GetObject () const
 Get a pointer to the requested aggregated Object.
 
template<>
Ptr< ObjectGetObject () const
 Specialization of () for objects of type ns3::Object.
 
template<typename T >
Ptr< T > GetObject (TypeId tid) const
 Get a pointer to the requested aggregated Object by TypeId.
 
template<>
Ptr< ObjectGetObject (TypeId tid) const
 Specialization of (TypeId tid) for objects of type ns3::Object.
 
void Initialize ()
 Invoke DoInitialize on all Objects aggregated to this one.
 
bool IsInitialized () const
 Check if the object has been initialized.
 
void UnidirectionalAggregateObject (Ptr< Object > other)
 Aggregate an Object to another Object.
 
- Public Member Functions inherited from ns3::SimpleRefCount< Object, ObjectBase, ObjectDeleter >
 SimpleRefCount ()
 Default constructor.
 
 SimpleRefCount (const SimpleRefCount &o)
 Copy constructor.
 
uint32_t GetReferenceCount () const
 Get the reference count of the object.
 
SimpleRefCountoperator= (const SimpleRefCount &o)
 Assignment operator.
 
void Ref () const
 Increment the reference count.
 
void Unref () const
 Decrement the reference count.
 
- Public Member Functions inherited from ns3::ObjectBase
virtual ~ObjectBase ()
 Virtual destructor.
 
void GetAttribute (std::string name, AttributeValue &value, bool permissive=false) const
 Get the value of an attribute, raising fatal errors if unsuccessful.
 
bool GetAttributeFailSafe (std::string name, AttributeValue &value) const
 Get the value of an attribute without raising errors.
 
void SetAttribute (std::string name, const AttributeValue &value)
 Set a single attribute, raising fatal errors if unsuccessful.
 
bool SetAttributeFailSafe (std::string name, const AttributeValue &value)
 Set a single attribute without raising errors.
 
bool TraceConnect (std::string name, std::string context, const CallbackBase &cb)
 Connect a TraceSource to a Callback with a context.
 
bool TraceConnectWithoutContext (std::string name, const CallbackBase &cb)
 Connect a TraceSource to a Callback without a context.
 
bool TraceDisconnect (std::string name, std::string context, const CallbackBase &cb)
 Disconnect from a TraceSource a Callback previously connected with a context.
 
bool TraceDisconnectWithoutContext (std::string name, const CallbackBase &cb)
 Disconnect from a TraceSource a Callback previously connected without a context.
 

Static Public Member Functions

static TypeId GetTypeId ()
 Register this type.
 
- Static Public Member Functions inherited from ns3::RandomVariableStream
static TypeId GetTypeId ()
 Register this type.
 
- Static Public Member Functions inherited from ns3::Object
static TypeId GetTypeId ()
 Register this type.
 
- Static Public Member Functions inherited from ns3::ObjectBase
static TypeId GetTypeId ()
 Get the type ID.
 

Private Member Functions

double GetExponentialValue (double mean, double bound)
 Returns a random double from an exponential distribution with the specified mean and upper bound.
 

Private Attributes

uint32_t m_k
 The k value for the Erlang distribution returned by this RNG stream.
 
double m_lambda
 The lambda value for the Erlang distribution returned by this RNG stream.
 

Additional Inherited Members

- Protected Member Functions inherited from ns3::RandomVariableStream
RngStreamPeek () const
 Get the pointer to the underlying RngStream.
 
- Protected Member Functions inherited from ns3::Object
 Object (const Object &o)
 Copy an Object.
 
virtual void DoDispose ()
 Destructor implementation.
 
virtual void DoInitialize ()
 Initialize() implementation.
 
virtual void NotifyNewAggregate ()
 Notify all Objects aggregated to this one of a new Object being aggregated.
 
- Protected Member Functions inherited from ns3::ObjectBase
void ConstructSelf (const AttributeConstructionList &attributes)
 Complete construction of ObjectBase; invoked by derived classes.
 
virtual void NotifyConstructionCompleted ()
 Notifier called once the ObjectBase is fully constructed.
 

Detailed Description

The Erlang distribution Random Number Generator (RNG) that allows stream numbers to be set deterministically.

This class supports the creation of objects that return random numbers from a fixed Erlang distribution. It also supports the generation of single random numbers from various Erlang distributions.

The Erlang distribution is a special case of the Gamma distribution where $k = \alpha > 0 $ is a positive definite integer. Erlang distributed variables can be generated using a much faster algorithm than Gamma variables.

The probability distribution is defined in terms two parameters, the K or shape parameter $ \in {1,2 \dots} $, and the Lambda or scale parameter $ \in (0,1] $. (Note the Wikipedia entry for the Erlang Distribution uses the parameters $(k, \lambda)$ or $(k, \beta)$. The parameters used here $(k, \lambda)_{\mbox{ns-3}}$ correspond to $(k, \frac{1}{\lambda} = \beta)_{\mbox{Wikipedia}}$.)

The probability density function is:

\[
     P(x; k, \lambda) dx = \lambda^k \\
                           \frac{x^{k-1} e^{-\frac{x}{\lambda}}}{(k-1)!} dx, \\
         \quad x \in [0, +\infty)
  \]

with mean $ \mu = k \lambda $ and variance $ \sigma^2 = k \lambda^2 $.

The Erlang RNG value $x$ is generated by

\[
     x = - \lambda \sum_{i = 1}^{k}{\ln u_i}
  \]

where the $u_i$ are $k$ uniform random variables on [0,1).

Example

Here is an example of how to use this class:

uint32_t k = 5;
double lambda = 2.0;
x->SetAttribute ("K", IntegerValue (k));
x->SetAttribute ("Lambda", DoubleValue (lambda));
double value = x->GetValue ();
This class can be used to hold variables of floating point type such as 'double' or 'float'.
Definition double.h:31
Hold a signed integer type.
Definition integer.h:34
Smart pointer class similar to boost::intrusive_ptr.
Ptr< T > CreateObject(Args &&... args)
Create an object by type, with varying number of constructor parameters.
Definition object.h:619
Antithetic Values.

If an instance of this RNG is configured to return antithetic values, the actual value returned, $x'$, is generated as follows:

\[
     x' = - \lambda \sum_{i = 1}^{k}{\ln (1 - u_i)}
  \]

which now involves the log of the distance $u$ is from 1.

Definition at line 1381 of file random-variable-stream.h.

Constructor & Destructor Documentation

◆ ErlangRandomVariable()

ns3::ErlangRandomVariable::ErlangRandomVariable ( )

Creates an Erlang distribution RNG with the default values for k and lambda.

Definition at line 1107 of file random-variable-stream.cc.

References NS_LOG_FUNCTION.

Member Function Documentation

◆ GetExponentialValue()

double ns3::ErlangRandomVariable::GetExponentialValue ( double mean,
double bound )
private

Returns a random double from an exponential distribution with the specified mean and upper bound.

Parameters
[in]meanMean value of the random variables.
[in]boundUpper bound on values returned.
Returns
A floating point random value.

Definition at line 1169 of file random-variable-stream.cc.

References ns3::RandomVariableStream::GetStream(), ns3::RandomVariableStream::IsAntithetic(), NS_LOG_DEBUG, ns3::RandomVariableStream::Peek(), and ns3::RngStream::RandU01().

Referenced by GetValue().

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◆ GetInteger() [1/2]

uint32_t ns3::RandomVariableStream::GetInteger ( )
virtual

Get the next random value drawn from the distribution.

Returns
A random value.

Reimplemented from ns3::RandomVariableStream.

Definition at line 144 of file random-variable-stream.cc.

◆ GetInteger() [2/2]

uint32_t ns3::ErlangRandomVariable::GetInteger ( uint32_t k,
uint32_t lambda )

Get the next random value drawn from the distribution.

Returns
A random value.
Parameters
[in]kK value for the Erlang distribution.
[in]lambdaLambda value for the Erlang distribution.

Definition at line 1154 of file random-variable-stream.cc.

References ns3::RandomVariableStream::GetStream(), GetValue(), and NS_LOG_DEBUG.

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◆ GetK()

uint32_t ns3::ErlangRandomVariable::GetK ( ) const

Returns the k value for the Erlang distribution returned by this RNG stream.

Returns
The k value for the Erlang distribution returned by this RNG stream.

Definition at line 1114 of file random-variable-stream.cc.

References m_k.

◆ GetLambda()

double ns3::ErlangRandomVariable::GetLambda ( ) const

Returns the lambda value for the Erlang distribution returned by this RNG stream.

Returns
The lambda value for the Erlang distribution returned by this RNG stream.

Definition at line 1120 of file random-variable-stream.cc.

References m_lambda.

◆ GetTypeId()

TypeId ns3::ErlangRandomVariable::GetTypeId ( )
static

Register this type.

Returns
The object TypeId.

Definition at line 1086 of file random-variable-stream.cc.

References m_k, m_lambda, ns3::MakeDoubleAccessor(), ns3::MakeDoubleChecker(), ns3::MakeIntegerAccessor(), ns3::MakeIntegerChecker(), and ns3::TypeId::SetParent().

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◆ GetValue() [1/2]

double ns3::ErlangRandomVariable::GetValue ( )
overridevirtual

Get the next random value drawn from the distribution.

Returns
A random value.

Implements ns3::RandomVariableStream.

Definition at line 1163 of file random-variable-stream.cc.

References GetValue(), m_k, and m_lambda.

Referenced by GetInteger(), and GetValue().

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◆ GetValue() [2/2]

double ns3::ErlangRandomVariable::GetValue ( uint32_t k,
double lambda )

Get the next random value drawn from the distribution.

Returns
A random value.
Parameters
[in]kK value for the Erlang distribution.
[in]lambdaLambda value for the Erlang distribution.

Definition at line 1138 of file random-variable-stream.cc.

References GetExponentialValue(), ns3::RandomVariableStream::GetStream(), and NS_LOG_DEBUG.

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Member Data Documentation

◆ m_k

uint32_t ns3::ErlangRandomVariable::m_k
private

The k value for the Erlang distribution returned by this RNG stream.

Definition at line 1433 of file random-variable-stream.h.

Referenced by GetK(), GetTypeId(), and GetValue().

◆ m_lambda

double ns3::ErlangRandomVariable::m_lambda
private

The lambda value for the Erlang distribution returned by this RNG stream.

Definition at line 1436 of file random-variable-stream.h.

Referenced by GetLambda(), GetTypeId(), and GetValue().


The documentation for this class was generated from the following files: